Question

The depth, d, of a lake is 500 m, rounded to the nearest integer.

Write the error interval for d in the form a ≤ d < b.​

Answer 1

Answer: The depth, d, of a lake is 500 m, rounded to the nearest integer. The error interval for d is 499.5 ≤ d < 500.5

When a value is rounded to the nearest integer, the possible error is half of the smallest unit of measurement. In this case, the smallest unit of measurement is 1 meter, so the possible error is 0.5 meters. Therefore, the error interval for d is from -0.5 meters to +0.5 meters around the rounded value of 500 meters.

This can be expressed in the form a ≤ d < b as follows:

a = 500 - 0.5 = 499.5

b = 500 + 0.5 = 500.5

So, 499.5 ≤ d < 500.5

Explanation: